Question

student belcher, cash
properties of parallelograms
solve for the unknown
variable (x).
answer: round to whatever you
see in the problem.
ok

Explanation:

Step1: Use property of parallelogram

In a parallelogram, opposite sides are equal. So \(FE = GD\).

Step2: Set up equation

We have \(9x + 5=8x + 16\).

Step3: Solve for \(x\)

Subtract \(8x\) from both sides: \(9x-8x+5 = 8x - 8x+16\), which gives \(x+5=16\).
Then subtract \(5\) from both sides: \(x+5 - 5=16 - 5\), so \(x = 11\).

Answer:

\(x = 11\)